The steps to find the equation are as follow: 1. Find the slope 2. Plug the slope into the general equation, y = mx + c 3. Find the y-intercept 4. Plug the y-intercept into the equation we created in step 2 And that will give us the equation of the line
------------------------------------------- Find the slope ------------------------------------------- x - 3y = 6 ←Rearrange the equation to matches the format y = mx + c
3y = x - 6 ←divide by 3 through ÷3 ÷3 ÷3
y =1/3x - 2
Sope = 1/3
Slope of the perpendicular line = - 3 (negative reciprocal)
-------------------------------------------------------------------------------------- Plug in the value of the slope into the general equation y = mx + c -------------------------------------------------------------------------------------- y = mx + c y = -3x + c
-------------------------------------------------------------------------------------- Find the y-intercept -------------------------------------------------------------------------------------- y = -3x + c
At coordinate (-2, -7)
-7 = 3(-2) + c ←substitute x = -2 and y = -7
-7 = -6 + c ← add 6 to both side +6 +6
c = -1
-------------------------------------------------------------------------------------- Plug the value of the y-intercept into the equation y = -3x + c -------------------------------------------------------------------------------------- y = -3x + c y = -3x -1
-------------------------------------------------------------------------------------- Answer: y = -3x - 1 --------------------------------------------------------------------------------------
Since we know that these two are consecutive angles and consecutive angles add up to 180 deg, we can come up with the equation 4x +5x =180. Solving this out shows us that x = 20 and the measure of angle J is 100 deg while the measure of angle M is 80 deg.
